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Finding the Fourth Proportional to 369,726.93, 510,223.19 and 199,961.01

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Solution

The fourth proportional to 369,726.93, 510,223.19 and 199,961.01 is: 275,946.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,726.93 : 510,223.19 = 199,961.01 : x
  2. Step 2: Convert to fraction form
    369,726.93/510,223.19 = 199,961.01/x
  3. Step 3: Cross multiply
    369,726.93x = 510,223.19 × 199,961.01
  4. Step 4: Simplify right side
    369,726.93x = 102,024,743,398.02
  5. Step 5: Solve for x
    x = 102,024,743,398.02/369,726.93
  6. Step 6: Final answer
    x = 275,946.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.